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arXiv · 2504.19743

Generalized Hilbert matrix operators acting on weighted sequence spaces

Jianjun Jin
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Abstract

In this paper we introduce and study a new kind of generalized Hilbert matrix operators, induced by a positive finite Borel measure on (0,1), acting on weighted sequence spaces. We establish a sufficient and necessary condition for the boundedness of these operators. These results extend some related ones obtained recently in [Bull. London Math. Soc., 55 (2023), no. 6, 2598-2610].

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Jianjun Jin. 2025-04-28. Generalized Hilbert matrix operators acting on weighted sequence spaces. https://doi.org/10.1017/s0013091526101412

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